Stocking and pricing decisions under endogenous demand and reference point effects

In this paper, we study the newsvendor’s pricing and stocking decisions under reference point effects. The demand faced by the newsvendor is endogenous and the customers may also decide to procure the product from an outside option. We characterize the firm’s optimal pricing and stocking decisions. Our analysis reveals a threshold policy on the firm’s ordering and pricing decisions while considering the impact of reference point effects. We also find that as the level of optimism increases, the firm’s optimal ordering level decreases and optimal price increases. We further study the impact of loss aversion on the firm’s ordering and pricing decisions.     

Network flow problems with pricing decisions

This paper considers a class of network flow problems in which the demand levels of the nodes are determined through pricing decisions representing the revenue received per unit demand at the nodes. We must simultaneously determine the pricing decisions and the network flow decisions in order to maximize profits, i.e., the revenues received from the pricing decisions minus the cost of the network flow decisions. Specializations of this class of problems have numerous applications in supply chain management. We show that the class of problems with a single pricing decision throughout the network can be solved in polynomial time under both continuous pricing restrictions and integer pricing restrictions. For the class of problems with customer-specific pricing decisions, we provide conditions under which the problem can be solved in polynomial-time for continuous pricing restrictions and prove that the problem is NP-hard for integer pricing restrictions.     

Revenue management for low-cost providers

Low-cost providers have emerged as important players in many service industries, the most predominant being low-cost, or the so-called discount airlines. This paper presents models and results leading toward understanding the revenue management outlook for a discount pricing firm. A framework and model is formulated specifically for the airline industry, but is generalizable to low-cost providers in similar revenue management settings. We formulate an optimal pricing control model for a firm that must underprice to capture a segment of exogenous demand. Two specific model formulations are considered: a continuous deterministic version, and a discrete stochastic version. Structural results are derived for the deterministic case, providing insight into the general form of optimal underpricing policies. The stochastic results support the structural insight from the deterministic solution, and illuminate the effect of randomness on the underpricing policies.     

A continuous-time dynamic pricing model knowing the competitor’s pricing strategy

In this paper we consider a dynamic pricing model for a firm knowing that a competitor adopts a static pricing strategy. We establish a continuous time model to analyze the effect of dynamic pricing on the improvement in expected revenue in the duopoly. We assume that customers arrive to purchase tickets in accordance with a geometric Brownian motion. We derive an explicit closed-form expression for an optimal pricing policy to maximize the expected revenue. It is shown that when the competitor adopts a static pricing policy, dynamic pricing is not always effective in terms of maximizing expected revenue compared to a fixed pricing strategy. Moreover, we show that the size of the reduction in the expected revenue depends on the competitor’s pricing strategy. Numerical results are presented to illustrate the dynamic pricing policy.     

Models for collective decision making in industry

When actions are taken by individual managers within a firm to enhance certain performance criteria they may be found to have an adverse effect on other criteria. Changes in pricing policies and promotional activity, modifications in product design, increased mechanisation of production processes or operations, etc., are just examples of actions which in general do not have equally desirable consequences on the most commonly pursued objectives within the company, such as that of reducing unit costs, or those of increasing turnover, market share, profit levels and return on capital employed.In this paper simple models are developed and analysed, each enabling the user to assess explicitly the effects on the unit cost; the revenue and the profit of combined changes imposed on the system by management decisions or by external factors. It is suggested that these models be used as a basis for discussion by the managers involved with a view to reaching a consensus as to the desirable decisions that should be taken.     

基于数字仿真的收益管理整合决策

对航空公司收益管理进行机票定价和座位存量分配的整合研究。应用计算机仿真算法动态构造民航收益管理系统中的需求预测模型,并根据航班收益最大化原则,确定价格与座位存量分配,根据需求变化实时调整价格和座位存量。仿真运算结果显示,该算法可以使航空公司不同航班收益比固定价格提高2%以上。     

Forecast Accuracy: The Financial Benefits to a Small Airline

This paper assesses possible gains to be made from increasing forecast accuracy. It examines the financial return from improving passenger revenue forecasts for a small airline, both in theory assuming ‘optimal’ cash management and in practice using policies currently in operation in the firm. It concludes that the gains are unlikely to outweigh the costs, that greater returns are likely to be available through better cash management and that the nature of forecast errors must be considered along with their size.     

Coordinating pricing and production decisions in the presence of price competition

In this paper we study the effects of coordinating pricing and production decisions on the improvement of a firm’s position in a price-competitive environment. Assuming duopolistic market conditions, we use game-theoretic concepts and models to analyze two scenarios. A firm’s marketing and production departments may vertically coordinate their pricing and production quantity decisions and the two firms may horizontally compete for price-sensitive random demand. The two scenarios include (i) no coordination and (ii) coordination in both firms. We show that by coordinating their pricing and production decisions, competing firms can increase their profitability—especially when conditions are unfavourable (i.e., with smaller market sizes, higher unit costs and lower unit revenues). While it may be intuitive to expect that coordination will outperform non-coordination, our models provide a means for formalizing and quantifying the differences between the two policies.     

Integration of pricing and capacity allocation for perishable products

For years pricing and capacity allocation decisions in most revenue management models have been carried out independently. This article presents a comprehensive model to integrate these two decisions for perishable products. We assume that the supplier sells the same products to different micro-markets at distinct prices. Throughout the sales season, the supplier faces decisions as to which micro-markets or customer classes should be served and at what prices. We show that (i) at any time, a customer class is active (being served) if and only if the price offered is over a threshold level, but the optimal price may not be the highest one of the supplier’s choice; (ii) when the price decision is made in conjunction with inventory, it is similar to the procedure shown in pure pricing models, i.e., the optimal price comes from a subset of prices that forms a maximum increasing concave envelope; (iii) because of dynamic changes in the optimal prices, the nested-price structure does not necessarily hold in general and needs to be redefined; and (iv) the optimal pricing and capacity control policy is based on a sequence of threshold points that incorporate inventory, price and demand intensity. Numerical examples are provided.     

Formation of a strategic manufacturing and distribution network with transfer prices

We propose a profit maximization model for the decision support system of a firm that wishes to establish or rationalize a multinational manufacturing and distribution network to produce and deliver finished goods from sources to consumers. The model simultaneously evaluates all traditional location factors in a manufacturing and distribution network design problem and sets intra-firm transfer prices that take account of tax and exchange rate differentials between countries. Utilizing the generalized Benders decomposition approach, we exploit the partition between the product flow and the cash allocation (i.e., the pricing and revenue assignment) decisions in the supply chain to find near optimal model solutions. Our proposed profit maximizing strategic planning model produces intuitive results. We offer computational experiments to illustrate the potential valuable guidance the model can provide to a firm's supply chain design strategic planning process.     

Two-period dynamic versus fixed-ratio pricing in a capacity constrained duopoly

This paper analyzes the impact of dynamic and fixed-ratio pricing policies on firm profits and equilibrium prices under competition. Firms that have equal inventories of perfectly substitutable and perishable products compete for customer segments that demand the product at different times. In each period, customers first purchase from the low price firm and then from the high price firm up to their inventories, provided the prices are lower than the maximum they are willing to pay. The main conclusions of this paper are as follows: although dynamic pricing is a more sophisticated policy than fixed-ratio pricing, it may lead to decreased equilibrium profits; under both pricing policies, one firm assumes the role of a low-cost high-output firm while the other assumes the role of a high-cost low-output firm; and, the supply demand ratio has more impact on the outcome of the competition than the heterogeneity in consumer reservation prices.     

收益管理中单产品动态定价的稳健模型研究

在收益管理的动态定价模型的研究中,由传统的确定性模型和随机模型所得到的定价策略常常受限制于需求估计的准确性,当对需求的估计出现偏差时定价策略可能达不到最大化收益的目的,因此定价策略即最优解的稳健性越来越受到研究者的重视。针对需求函数系数的不确定性,在未知需求分布的条件下,应用稳健最优化思想,提出了一种稳健的动态定价模型,并对模型的最优解和最大收益进行了数值模拟分析。     

Analysis of back-office outsourcing contracts for financial services operations

Managing back-office operations for financial services is a challenging task because of highly volatile and dynamic demand requirements. Lack of service inventories, the inability to backlog demand and significant shortage and overage costs complicate the problem. In such situations, outsourcing all or part of the demand to third-party vendors provides a viable and cost effective option for the firm. Motivated by the remittance processing operations of a Fortune 100 company we examine the usefulness of complementing in-house staffing with different outsourcing arrangements. We study capacity-based and volume-based contracts between a financial services firm and an outsourcing vendor. We examine the impact of demand characteristics on the parameters of contract choice. Through extensive numerical analysis, we ascertain that neither contract is universally preferred, but cost and revenue structures along with demand characteristics determine contract choice.     

资金约束下三层供应链的融资和定价决策研究

实际生活中,供应链的资金管理是极其复杂多变的,现有学者关于供应链定价问题研究多以简单的二层供应链为基础,脱离了实际可用性。本文将二层供应链拓展成三层供应链,以单一供应商、单一生产商和单一零售商组成的三层供应链为研究对象,在市场风险中性的假设条件下,探究在供应商拥有不同初始资金约束情形下的供应链融资与最优定价决策,弥补了原先模型使用范围的狭隘性。通过模型的建立与数值分析显示,当供应商存在资金约束时,供应链融资能够使整条供应链上参与者的最优利润增加,从而创造价值。     

Using revenue management to improve pricing and capacity management in programme management

This paper presents revenue management models for pricing, capacity planning, and capacity reallocation and demonstrates their applicability for programme (project) management. In programme management, the allocation of capacity (resource time) to schedule activities requires the resolution of time versus revenue trade-offs. Thus, capacity planning and scheduling present a hierarchical problem for programme managers. Furthermore, current programme management methods do not consider the issue of price sensitivity exhibited in many programme management situations. Because of this omission, critical linkages between capacity management and scheduling of activities among programmes have not been addressed. Specifically, the issue of the reservation of capacity specifically for higher revenue generating activities has been omitted from programme management research. This paper asserts that, through capacity planning and scheduling, specific capacity should be reserved for customers willing to pay higher prices to have critical activities, for example, change orders, expedited. This capacity has scheduling effects that impact the programme NPV. This paper proposes potential solutions to capacity and programme scheduling problems using revenue management techniques.     

Temporary price increase during replenishment lead time

Pricing and inventory management make up together revenue management, which is a significant effort to boost revenues out of available resources. Firms use various forms of dynamic pricing, including personalized pricing, markdowns, promotions, coupons, discounts, and clearance sales, to respond to market fluctuations and demand uncertainty. In this paper, we study a temporary price increase policy, a form of dynamic pricing, for a non-perishable product, a practice used by several giant retailers such as Amazon, Walmart, and Apple. We develop a continuous review inventory model that allows for joint replenishment and pricing decisions, where the lead time is not zero. A replenishment decision controls supply, while a pricing decision controls demand. A manager exercises a temporary price increase to slow demand and avoid a stock-out situation while waiting for a shipment, which may not necessarily increase revenues, but decrease stock-out costs. The problem is to solve for the optimal replenishment and the pricing policy parameters that maximize the long-run expected profit. That is, when and how much to order and when to raise the price. In this paper, the inventory level and time trigger a price increase. We solve many numerical examples and perform extensive sensitivity analyses. Our results show that compared to a model that focuses on fixed pricing, our model brings an additional increase in profit of about 13%.     

考虑消费者从众特性的动态定价研究

面对掌握大量信息的消费者,厂商需考虑多方因素制定价格策略。研究运用经典的博弈模型,讨论不同消费者特性情况下厂商的定价机制。模型按从众特性和等待特性将消费者分为六类,并引入一个价格偏差变量,分析各类型消费者比例变化对厂商定价和利润的影响。结果显示,一般情况下降价幅度、消费者期望购买总数量和期望销售利润都随着反从众消费者比例的增大而增加。最后扩展分析了效益贴现率,反从众消费者比例和短视型消费者比例三因素对厂商总利润的影响,研究认为效益贴现率和从众消费者比例较高时,厂商利润会随着短视型消费者比例的降低而有所提高。因此,为使收益最大化,厂商在制定定价策略时需同时考虑贴现因素和消费者行为特性。     

Real options in strategic investment games between two asymmetric firms

This paper examines strategic investment games between two firms that compete for optimal entry in a project that generates uncertain revenue flows. Under asymmetry on both the sunk cost of investment and revenue flows of the two competing firms, we investigate the value of real investment options and strategic interaction of investment decisions. Compared to earlier models that only allow for asymmetry on sunk cost, our model demonstrates a richer set of strategic interactions of entry decisions. We provide a complete characterization of pre-emptive, dominant and simultaneous equilibriums by analyzing the relative value of leader’s and follower’s optimal investment thresholds. In a duopoly market with negative externalities, a firm may reduce loss of real options value by selecting appropriate pre-emptive entry. When one firm has a dominant advantage over its competitor, both the dominant firm and dominated firm enter at their respective leader’s and follower’s optimal thresholds. When the pre-emptive thresholds of both firms happen to coincide, the two firms enter simultaneously. Under positive externalities, firms do not compete to lead.     

Financial transmission rights in convex pool markets

This paper studies financial transmission rights in electricity pool markets with nodal pricing. We prove that simultaneous feasibility entails revenue adequacy in a general framework of convex optimization, and show by counterexample as to how this result might fail in the absence of convexity.     

Optimal pricing and inventory policies with reliable and random-yield suppliers: characterization and comparison

In this paper, we study the joint pricing and inventory replenishment problem for a periodic-review inventory system with random demand and dual suppliers, one of the suppliers is reliable but more expensive, the other supplier is less expensive but is unreliable with random yield. We characterize the firm’s optimal policies that simultaneously determine the optimal ordering and pricing decisions in each period over a finite planning horizon, and investigate the impacts of supply source diversification and supplier reliability on the firm and on its customers. We show that having source diversification or higher reliability of suppliers not only increases the firm’s expected profit, but also results in a lower optimal selling price, thus they benefit both the firm and its customers.